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Simplifying -1[3X + -1(2X + 5)] = -4 + -3[3(2X + -4) + -3X] Reorder the terms: -1[3X + -1(5 + 2X)] = -4 + -3[3(2X + -4) + -3X] -1[3X + (5 * -1 + 2X * -1)] = -4 + -3[3(2X + -4) + -3X] -1[3X + (-5 + -2X)] = -4 + -3[3(2X + -4) + -3X] Reorder the terms: -1[-5 + 3X + -2X] = -4 + -3[3(2X + -4) + -3X] Combine like terms: 3X + -2X = 1X -1[-5 + 1X] = -4 + -3[3(2X + -4) + -3X] [-5 * -1 + 1X * -1] = -4 + -3[3(2X + -4) + -3X] [5 + -1X] = -4 + -3[3(2X + -4) + -3X] Reorder the terms: 5 + -1X = -4 + -3[3(-4 + 2X) + -3X] 5 + -1X = -4 + -3[(-4 * 3 + 2X * 3) + -3X] 5 + -1X = -4 + -3[(-12 + 6X) + -3X] Combine like terms: 6X + -3X = 3X 5 + -1X = -4 + -3[-12 + 3X] 5 + -1X = -4 + [-12 * -3 + 3X * -3] 5 + -1X = -4 + [36 + -9X] Combine like terms: -4 + 36 = 32 5 + -1X = 32 + -9X Solving 5 + -1X = 32 + -9X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '9X' to each side of the equation. 5 + -1X + 9X = 32 + -9X + 9X Combine like terms: -1X + 9X = 8X 5 + 8X = 32 + -9X + 9X Combine like terms: -9X + 9X = 0 5 + 8X = 32 + 0 5 + 8X = 32 Add '-5' to each side of the equation. 5 + -5 + 8X = 32 + -5 Combine like terms: 5 + -5 = 0 0 + 8X = 32 + -5 8X = 32 + -5 Combine like terms: 32 + -5 = 27 8X = 27 Divide each side by '8'. X = 3.375 Simplifying X = 3.375
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